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Finding the Fourth Proportional to 536,693.95, 740,642.28 and 294,982.16

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Solution

The fourth proportional to 536,693.95, 740,642.28 and 294,982.16 is: 407,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,693.95 : 740,642.28 = 294,982.16 : x
  2. Step 2: Convert to fraction form
    536,693.95/740,642.28 = 294,982.16/x
  3. Step 3: Cross multiply
    536,693.95x = 740,642.28 × 294,982.16
  4. Step 4: Simplify right side
    536,693.95x = 218,476,256,391.61
  5. Step 5: Solve for x
    x = 218,476,256,391.61/536,693.95
  6. Step 6: Final answer
    x = 407,077.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.